Formal methods for control synthesis: An optimization perspective

C Belta, S Sadraddini - Annual Review of Control, Robotics, and …, 2019 - annualreviews.org
In control theory, complicated dynamics such as systems of (nonlinear) differential equations
are controlled mostly to achieve stability. This fundamental property, which can be with …

[КНИГА][B] Formal methods for discrete-time dynamical systems

C Belta, B Yordanov, EA Gol - 2017 - Springer
In control theory, complex models of physical processes, such as systems of differential or
difference equations, are usually checked against simple specifications, such as stability …

Reinforcement learning with temporal logic rewards

X Li, CI Vasile, C Belta - 2017 IEEE/RSJ International …, 2017 - ieeexplore.ieee.org
Reinforcement learning (RL) depends critically on the choice of reward functions used to
capture the desired behavior and constraints of a robot. Usually, these are handcrafted by a …

Specification-guided controller synthesis for linear systems and safe linear-time temporal logic

M Rungger, M Mazo Jr, P Tabuada - Proceedings of the 16th …, 2013 - dl.acm.org
In this paper we present and analyze a novel algorithm to synthesize controllers enforcing
linear temporal logic specifications on discrete-time linear systems. The central step within …

Automaton-guided controller synthesis for nonlinear systems with temporal logic

EM Wolff, U Topcu, RM Murray - 2013 IEEE/RSJ International …, 2013 - ieeexplore.ieee.org
We develop a method for the control of discrete-time nonlinear systems subject to temporal
logic specifications. Our approach uses a coarse abstraction of the system and an …

Robust controller synthesis of switched systems using counterexample guided framework

H Ravanbakhsh, S Sankaranarayanan - Proceedings of the 13th …, 2016 - dl.acm.org
We investigate the problem of synthesizing robust controllers that ensure that the closed
loop satisfies an input reach-while-stay specification, wherein all trajectories starting from …

Language-guided controller synthesis for linear systems

EA Gol, M Lazar, C Belta - IEEE Transactions on Automatic …, 2013 - ieeexplore.ieee.org
This paper considers the problem of controlling discrete-time linear systems from
specifications given as formulas of syntactically co-safe linear temporal logic over linear …

Switching controller synthesis for hybrid systems against STL formulas

H Su, S Feng, S Zhan, N Zhan - International Symposium on Formal …, 2024 - Springer
Switching controllers play a pivotal role in directing hybrid systems (HSs) towards the
desired objective, embodying a “correct-by-construction” approach to HS design. Identifying …

Temporal logic control for stochastic linear systems using abstraction refinement of probabilistic games

M Svoreňová, J Křetínský, M Chmelík… - Proceedings of the 18th …, 2015 - dl.acm.org
We consider the problem of computing the set of initial states of a dynamical system such
that there exists a control strategy to ensure that the trajectories satisfy a temporal logic …

[HTML][HTML] Quantitative model-checking of controlled discrete-time Markov processes

I Tkachev, A Mereacre, JP Katoen, A Abate - Information and Computation, 2017 - Elsevier
This paper focuses on optimizing probabilities of events of interest defined over general
controlled discrete-time Markov processes. It is shown that the optimization over a wide …